Question

$28gm$ of $N_2$ gas is contained in a flask at a pressure of $10atm$ and at a temperature of ${57}^o$. It is found that due to leakage in the flask, the pressure is reduced to half and the temperature reduced to ${27}^{o}C$. The quantity of $N_2$ gas that leaked out is_________.

• A. $11/20$ $gm$
• B. $20/11$ $gm$
• C. $5/63$ $gm$
• D. $63/5$ $gm$

Answer 1

Answer: (D)

$63/5$ $gm$

$PV=nRT$

$V=\frac{nRT}{P}$ with constant V

$\frac{nT}{P}$=constant

$\frac{nT}{P}=\frac{n^{\prime }{T}^{\prime }}{P^{\prime }}$

$\Rightarrow 63/5$gm

Hence (D) is the correct answer.